Properties

Label 177.3.h.a.5.14
Level $177$
Weight $3$
Character 177.5
Analytic conductor $4.823$
Analytic rank $0$
Dimension $1064$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(1064\)
Relative dimension: \(38\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.14
Character \(\chi\) \(=\) 177.5
Dual form 177.3.h.a.71.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.386111 + 1.14594i) q^{2} +(1.94700 + 2.28237i) q^{3} +(2.02029 + 1.53578i) q^{4} +(-1.21804 - 0.485310i) q^{5} +(-3.36720 + 1.34988i) q^{6} +(-3.89579 + 1.80238i) q^{7} +(-6.54344 + 4.43656i) q^{8} +(-1.41841 + 8.88753i) q^{9} +O(q^{10})\) \(q+(-0.386111 + 1.14594i) q^{2} +(1.94700 + 2.28237i) q^{3} +(2.02029 + 1.53578i) q^{4} +(-1.21804 - 0.485310i) q^{5} +(-3.36720 + 1.34988i) q^{6} +(-3.89579 + 1.80238i) q^{7} +(-6.54344 + 4.43656i) q^{8} +(-1.41841 + 8.88753i) q^{9} +(1.02643 - 1.20841i) q^{10} +(4.89275 + 1.35846i) q^{11} +(0.428269 + 7.60120i) q^{12} +(0.583496 - 1.10059i) q^{13} +(-0.561210 - 5.16024i) q^{14} +(-1.26385 - 3.72490i) q^{15} +(0.158158 + 0.569633i) q^{16} +(2.39479 - 5.17625i) q^{17} +(-9.63687 - 5.05698i) q^{18} +(7.69961 - 1.69481i) q^{19} +(-1.71545 - 2.85110i) q^{20} +(-11.6988 - 5.38239i) q^{21} +(-3.44585 + 5.08226i) q^{22} +(14.1932 + 2.32685i) q^{23} +(-22.8659 - 6.29658i) q^{24} +(-16.9018 - 16.0102i) q^{25} +(1.03591 + 1.09360i) q^{26} +(-23.0463 + 14.0666i) q^{27} +(-10.6387 - 2.34175i) q^{28} +(13.6363 + 40.4712i) q^{29} +(4.75648 - 0.0100715i) q^{30} +(10.6397 + 2.34197i) q^{31} +(-32.2902 - 1.75072i) q^{32} +(6.42564 + 13.8120i) q^{33} +(5.00699 + 4.74288i) q^{34} +(5.61992 - 0.304703i) q^{35} +(-16.5149 + 15.7770i) q^{36} +(18.4262 - 27.1766i) q^{37} +(-1.03075 + 9.47763i) q^{38} +(3.64802 - 0.811091i) q^{39} +(10.1233 - 2.22830i) q^{40} +(38.0426 - 6.23676i) q^{41} +(10.6849 - 11.3279i) q^{42} +(-6.05782 - 21.8183i) q^{43} +(7.79844 + 10.2587i) q^{44} +(6.04088 - 10.1370i) q^{45} +(-8.14655 + 15.3660i) q^{46} +(28.7305 - 11.4473i) q^{47} +(-0.992180 + 1.47005i) q^{48} +(-19.7933 + 23.3025i) q^{49} +(24.8727 - 13.1867i) q^{50} +(16.4768 - 4.61235i) q^{51} +(2.86909 - 1.32738i) q^{52} +(30.8716 - 26.2226i) q^{53} +(-7.22105 - 31.8408i) q^{54} +(-5.30026 - 4.02916i) q^{55} +(17.4955 - 29.0777i) q^{56} +(18.8593 + 14.2735i) q^{57} -51.6425 q^{58} +(40.6469 - 42.7649i) q^{59} +(3.16729 - 9.46637i) q^{60} +(17.1522 + 5.77925i) q^{61} +(-6.79184 + 11.2881i) q^{62} +(-10.4929 - 37.1804i) q^{63} +(13.5985 - 34.1297i) q^{64} +(-1.24485 + 1.05738i) q^{65} +(-18.3086 + 2.03042i) q^{66} +(25.3499 + 37.3882i) q^{67} +(12.7877 - 6.77963i) q^{68} +(22.3233 + 36.9244i) q^{69} +(-1.82074 + 6.55772i) q^{70} +(46.6349 - 18.5811i) q^{71} +(-30.1488 - 64.4479i) q^{72} +(39.6133 - 4.30820i) q^{73} +(24.0281 + 31.6084i) q^{74} +(3.63352 - 69.7480i) q^{75} +(18.1583 + 8.40091i) q^{76} +(-21.5096 + 3.52632i) q^{77} +(-0.479079 + 4.49356i) q^{78} +(-4.92548 + 2.96356i) q^{79} +(0.0838066 - 0.770589i) q^{80} +(-76.9762 - 25.2124i) q^{81} +(-7.54171 + 46.0024i) q^{82} +(54.0359 - 2.92974i) q^{83} +(-15.3687 - 28.8407i) q^{84} +(-5.42902 + 5.14264i) q^{85} +(27.3413 + 1.48240i) q^{86} +(-65.8203 + 109.920i) q^{87} +(-38.0423 + 12.8180i) q^{88} +(-3.35003 - 9.94254i) q^{89} +(9.28384 + 10.8364i) q^{90} +(-0.289491 + 5.33935i) q^{91} +(25.1007 + 26.4985i) q^{92} +(15.3702 + 28.8435i) q^{93} +(2.02469 + 37.3433i) q^{94} +(-10.2009 - 1.67235i) q^{95} +(-58.8730 - 77.1067i) q^{96} +(-87.4545 - 9.51125i) q^{97} +(-19.0608 - 31.6793i) q^{98} +(-19.0133 + 41.5576i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} + O(q^{10}) \) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} - 94q^{10} - 29q^{12} - 54q^{13} - 12q^{15} - 158q^{16} - 27q^{18} - 30q^{19} - 18q^{21} - 142q^{22} - 23q^{24} + 108q^{25} - 32q^{27} - 70q^{28} - 131q^{30} - 18q^{31} + 17q^{33} + 90q^{34} + 67q^{36} - 170q^{37} - 91q^{39} - 2q^{40} - 43q^{42} - 222q^{43} - 461q^{45} - 54q^{46} - 1645q^{48} - 300q^{49} - 893q^{51} - 66q^{52} - 859q^{54} + 170q^{55} - 27q^{57} - 36q^{58} + 510q^{60} - 70q^{61} + 610q^{63} - 106q^{64} + 1619q^{66} - 182q^{67} + 1487q^{69} - 206q^{70} + 2241q^{72} + 134q^{73} + 542q^{75} + 246q^{76} - 273q^{78} - 122q^{79} + 127q^{81} + 122q^{82} - 329q^{84} - 6q^{85} + 54q^{87} + 38q^{88} + 347q^{90} + 274q^{91} - 483q^{93} - 826q^{94} + 693q^{96} - 474q^{97} - 523q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.386111 + 1.14594i −0.193055 + 0.572968i −0.999840 0.0178776i \(-0.994309\pi\)
0.806785 + 0.590845i \(0.201206\pi\)
\(3\) 1.94700 + 2.28237i 0.648999 + 0.760790i
\(4\) 2.02029 + 1.53578i 0.505071 + 0.383945i
\(5\) −1.21804 0.485310i −0.243607 0.0970619i 0.245139 0.969488i \(-0.421166\pi\)
−0.488746 + 0.872426i \(0.662546\pi\)
\(6\) −3.36720 + 1.34988i −0.561200 + 0.224981i
\(7\) −3.89579 + 1.80238i −0.556541 + 0.257483i −0.677936 0.735121i \(-0.737125\pi\)
0.121395 + 0.992604i \(0.461263\pi\)
\(8\) −6.54344 + 4.43656i −0.817930 + 0.554570i
\(9\) −1.41841 + 8.88753i −0.157601 + 0.987503i
\(10\) 1.02643 1.20841i 0.102643 0.120841i
\(11\) 4.89275 + 1.35846i 0.444795 + 0.123497i 0.482702 0.875784i \(-0.339655\pi\)
−0.0379071 + 0.999281i \(0.512069\pi\)
\(12\) 0.428269 + 7.60120i 0.0356891 + 0.633433i
\(13\) 0.583496 1.10059i 0.0448843 0.0846608i −0.860055 0.510201i \(-0.829571\pi\)
0.904940 + 0.425540i \(0.139916\pi\)
\(14\) −0.561210 5.16024i −0.0400864 0.368589i
\(15\) −1.26385 3.72490i −0.0842570 0.248327i
\(16\) 0.158158 + 0.569633i 0.00988486 + 0.0356021i
\(17\) 2.39479 5.17625i 0.140870 0.304485i −0.824280 0.566182i \(-0.808420\pi\)
0.965150 + 0.261697i \(0.0842820\pi\)
\(18\) −9.63687 5.05698i −0.535381 0.280943i
\(19\) 7.69961 1.69481i 0.405242 0.0892006i −0.00767171 0.999971i \(-0.502442\pi\)
0.412914 + 0.910770i \(0.364511\pi\)
\(20\) −1.71545 2.85110i −0.0857725 0.142555i
\(21\) −11.6988 5.38239i −0.557085 0.256304i
\(22\) −3.44585 + 5.08226i −0.156630 + 0.231012i
\(23\) 14.1932 + 2.32685i 0.617094 + 0.101167i 0.462218 0.886767i \(-0.347054\pi\)
0.154876 + 0.987934i \(0.450502\pi\)
\(24\) −22.8659 6.29658i −0.952747 0.262357i
\(25\) −16.9018 16.0102i −0.676072 0.640410i
\(26\) 1.03591 + 1.09360i 0.0398427 + 0.0420615i
\(27\) −23.0463 + 14.0666i −0.853565 + 0.520986i
\(28\) −10.6387 2.34175i −0.379953 0.0836339i
\(29\) 13.6363 + 40.4712i 0.470218 + 1.39556i 0.876320 + 0.481730i \(0.159991\pi\)
−0.406102 + 0.913828i \(0.633112\pi\)
\(30\) 4.75648 0.0100715i 0.158549 0.000335718i
\(31\) 10.6397 + 2.34197i 0.343215 + 0.0755474i 0.383233 0.923652i \(-0.374811\pi\)
−0.0400181 + 0.999199i \(0.512742\pi\)
\(32\) −32.2902 1.75072i −1.00907 0.0547100i
\(33\) 6.42564 + 13.8120i 0.194716 + 0.418545i
\(34\) 5.00699 + 4.74288i 0.147265 + 0.139496i
\(35\) 5.61992 0.304703i 0.160569 0.00870581i
\(36\) −16.5149 + 15.7770i −0.458747 + 0.438249i
\(37\) 18.4262 27.1766i 0.498006 0.734504i −0.492749 0.870172i \(-0.664008\pi\)
0.990754 + 0.135668i \(0.0433181\pi\)
\(38\) −1.03075 + 9.47763i −0.0271251 + 0.249411i
\(39\) 3.64802 0.811091i 0.0935389 0.0207972i
\(40\) 10.1233 2.22830i 0.253081 0.0557074i
\(41\) 38.0426 6.23676i 0.927868 0.152116i 0.321145 0.947030i \(-0.395932\pi\)
0.606723 + 0.794914i \(0.292484\pi\)
\(42\) 10.6849 11.3279i 0.254402 0.269711i
\(43\) −6.05782 21.8183i −0.140880 0.507402i 0.859111 0.511790i \(-0.171017\pi\)
−0.999990 + 0.00438736i \(0.998603\pi\)
\(44\) 7.79844 + 10.2587i 0.177237 + 0.233152i
\(45\) 6.04088 10.1370i 0.134242 0.225266i
\(46\) −8.14655 + 15.3660i −0.177099 + 0.334044i
\(47\) 28.7305 11.4473i 0.611288 0.243559i −0.0438871 0.999036i \(-0.513974\pi\)
0.655175 + 0.755477i \(0.272595\pi\)
\(48\) −0.992180 + 1.47005i −0.0206704 + 0.0306260i
\(49\) −19.7933 + 23.3025i −0.403946 + 0.475562i
\(50\) 24.8727 13.1867i 0.497453 0.263733i
\(51\) 16.4768 4.61235i 0.323074 0.0904382i
\(52\) 2.86909 1.32738i 0.0551749 0.0255266i
\(53\) 30.8716 26.2226i 0.582483 0.494766i −0.307015 0.951705i \(-0.599330\pi\)
0.889498 + 0.456939i \(0.151054\pi\)
\(54\) −7.22105 31.8408i −0.133723 0.589644i
\(55\) −5.30026 4.02916i −0.0963684 0.0732574i
\(56\) 17.4955 29.0777i 0.312419 0.519245i
\(57\) 18.8593 + 14.2735i 0.330865 + 0.250413i
\(58\) −51.6425 −0.890388
\(59\) 40.6469 42.7649i 0.688930 0.724828i
\(60\) 3.16729 9.46637i 0.0527881 0.157773i
\(61\) 17.1522 + 5.77925i 0.281183 + 0.0947417i 0.456360 0.889795i \(-0.349153\pi\)
−0.175176 + 0.984537i \(0.556050\pi\)
\(62\) −6.79184 + 11.2881i −0.109546 + 0.182066i
\(63\) −10.4929 37.1804i −0.166554 0.590166i
\(64\) 13.5985 34.1297i 0.212477 0.533276i
\(65\) −1.24485 + 1.05738i −0.0191515 + 0.0162674i
\(66\) −18.3086 + 2.03042i −0.277404 + 0.0307639i
\(67\) 25.3499 + 37.3882i 0.378356 + 0.558033i 0.968420 0.249323i \(-0.0802080\pi\)
−0.590064 + 0.807356i \(0.700898\pi\)
\(68\) 12.7877 6.77963i 0.188055 0.0997005i
\(69\) 22.3233 + 36.9244i 0.323526 + 0.535136i
\(70\) −1.82074 + 6.55772i −0.0260106 + 0.0936817i
\(71\) 46.6349 18.5811i 0.656830 0.261705i −0.0178218 0.999841i \(-0.505673\pi\)
0.674652 + 0.738136i \(0.264294\pi\)
\(72\) −30.1488 64.4479i −0.418733 0.895110i
\(73\) 39.6133 4.30820i 0.542647 0.0590165i 0.167309 0.985904i \(-0.446492\pi\)
0.375338 + 0.926888i \(0.377527\pi\)
\(74\) 24.0281 + 31.6084i 0.324704 + 0.427141i
\(75\) 3.63352 69.7480i 0.0484470 0.929974i
\(76\) 18.1583 + 8.40091i 0.238924 + 0.110538i
\(77\) −21.5096 + 3.52632i −0.279345 + 0.0457963i
\(78\) −0.479079 + 4.49356i −0.00614204 + 0.0576098i
\(79\) −4.92548 + 2.96356i −0.0623479 + 0.0375135i −0.546386 0.837533i \(-0.683997\pi\)
0.484039 + 0.875047i \(0.339169\pi\)
\(80\) 0.0838066 0.770589i 0.00104758 0.00963236i
\(81\) −76.9762 25.2124i −0.950324 0.311264i
\(82\) −7.54171 + 46.0024i −0.0919721 + 0.561005i
\(83\) 54.0359 2.92974i 0.651035 0.0352981i 0.274336 0.961634i \(-0.411542\pi\)
0.376699 + 0.926336i \(0.377059\pi\)
\(84\) −15.3687 28.8407i −0.182961 0.343342i
\(85\) −5.42902 + 5.14264i −0.0638708 + 0.0605017i
\(86\) 27.3413 + 1.48240i 0.317923 + 0.0172373i
\(87\) −65.8203 + 109.920i −0.756555 + 1.26345i
\(88\) −38.0423 + 12.8180i −0.432299 + 0.145659i
\(89\) −3.35003 9.94254i −0.0376408 0.111714i 0.927185 0.374603i \(-0.122221\pi\)
−0.964826 + 0.262889i \(0.915325\pi\)
\(90\) 9.28384 + 10.8364i 0.103154 + 0.120405i
\(91\) −0.289491 + 5.33935i −0.00318122 + 0.0586742i
\(92\) 25.1007 + 26.4985i 0.272834 + 0.288027i
\(93\) 15.3702 + 28.8435i 0.165271 + 0.310145i
\(94\) 2.02469 + 37.3433i 0.0215393 + 0.397269i
\(95\) −10.2009 1.67235i −0.107378 0.0176037i
\(96\) −58.8730 77.1067i −0.613261 0.803195i
\(97\) −87.4545 9.51125i −0.901593 0.0980542i −0.354432 0.935082i \(-0.615326\pi\)
−0.547161 + 0.837027i \(0.684291\pi\)
\(98\) −19.0608 31.6793i −0.194498 0.323258i
\(99\) −19.0133 + 41.5576i −0.192054 + 0.419773i
\(100\) −9.55825 58.3027i −0.0955825 0.583027i
\(101\) −65.1841 + 140.893i −0.645387 + 1.39498i 0.257996 + 0.966146i \(0.416938\pi\)
−0.903383 + 0.428835i \(0.858924\pi\)
\(102\) −1.07640 + 20.6622i −0.0105529 + 0.202570i
\(103\) 126.351 96.0493i 1.22671 0.932517i 0.227556 0.973765i \(-0.426926\pi\)
0.999149 + 0.0412479i \(0.0131333\pi\)
\(104\) 1.06477 + 9.79036i 0.0102381 + 0.0941381i
\(105\) 11.6374 + 12.2335i 0.110832 + 0.116509i
\(106\) 18.1295 + 45.5017i 0.171033 + 0.429261i
\(107\) −182.165 50.5778i −1.70247 0.472689i −0.725886 0.687815i \(-0.758570\pi\)
−0.976586 + 0.215125i \(0.930984\pi\)
\(108\) −68.1633 6.97539i −0.631142 0.0645869i
\(109\) 57.0589 + 107.625i 0.523477 + 0.987382i 0.994448 + 0.105233i \(0.0335588\pi\)
−0.470971 + 0.882149i \(0.656096\pi\)
\(110\) 6.66364 4.51806i 0.0605786 0.0410733i
\(111\) 97.9029 10.8574i 0.882008 0.0978142i
\(112\) −1.64285 1.93411i −0.0146683 0.0172688i
\(113\) −60.4620 24.0903i −0.535062 0.213188i 0.0869262 0.996215i \(-0.472296\pi\)
−0.621988 + 0.783027i \(0.713675\pi\)
\(114\) −23.6383 + 16.1004i −0.207354 + 0.141231i
\(115\) −16.1585 9.72226i −0.140509 0.0845414i
\(116\) −34.6056 + 102.706i −0.298324 + 0.885394i
\(117\) 8.95388 + 6.74693i 0.0765289 + 0.0576660i
\(118\) 33.3116 + 63.0906i 0.282302 + 0.534666i
\(119\) 24.4819i 0.205730i
\(120\) 24.7957 + 18.7665i 0.206631 + 0.156388i
\(121\) −81.5862 49.0888i −0.674266 0.405692i
\(122\) −13.2453 + 17.4239i −0.108568 + 0.142819i
\(123\) 88.3034 + 74.6842i 0.717913 + 0.607189i
\(124\) 17.8984 + 21.0717i 0.144342 + 0.169933i
\(125\) 26.5806 + 57.4530i 0.212645 + 0.459624i
\(126\) 46.6578 + 2.33159i 0.370300 + 0.0185047i
\(127\) −48.0310 90.5961i −0.378197 0.713355i 0.619217 0.785220i \(-0.287450\pi\)
−0.997414 + 0.0718642i \(0.977105\pi\)
\(128\) −64.7260 54.9788i −0.505672 0.429522i
\(129\) 38.0028 56.3063i 0.294596 0.436483i
\(130\) −0.731043 1.83478i −0.00562340 0.0141137i
\(131\) −176.919 93.7964i −1.35053 0.716003i −0.373201 0.927751i \(-0.621740\pi\)
−0.977324 + 0.211747i \(0.932085\pi\)
\(132\) −8.23055 + 37.7725i −0.0623526 + 0.286156i
\(133\) −26.9413 + 20.4803i −0.202566 + 0.153987i
\(134\) −52.6324 + 14.6133i −0.392779 + 0.109054i
\(135\) 34.8978 5.94909i 0.258502 0.0440673i
\(136\) 7.29460 + 44.4951i 0.0536368 + 0.327170i
\(137\) −15.0936 68.5710i −0.110172 0.500519i −0.999098 0.0424666i \(-0.986478\pi\)
0.888925 0.458052i \(-0.151453\pi\)
\(138\) −50.9322 + 11.3242i −0.369074 + 0.0820591i
\(139\) −99.3852 10.8088i −0.715001 0.0777611i −0.256615 0.966514i \(-0.582607\pi\)
−0.458387 + 0.888753i \(0.651573\pi\)
\(140\) 11.8218 + 8.01538i 0.0844415 + 0.0572527i
\(141\) 82.0652 + 43.2858i 0.582022 + 0.306992i
\(142\) 3.28645 + 60.6149i 0.0231440 + 0.426866i
\(143\) 4.35001 4.59225i 0.0304197 0.0321136i
\(144\) −5.28696 + 0.597656i −0.0367150 + 0.00415039i
\(145\) 3.03152 55.9132i 0.0209071 0.385608i
\(146\) −10.3582 + 47.0577i −0.0709464 + 0.322313i
\(147\) −91.7225 + 0.194216i −0.623963 + 0.00132120i
\(148\) 78.9636 26.6059i 0.533538 0.179770i
\(149\) −4.01681 + 18.2485i −0.0269584 + 0.122473i −0.988178 0.153311i \(-0.951006\pi\)
0.961220 + 0.275784i \(0.0889375\pi\)
\(150\) 78.5238 + 31.0942i 0.523492 + 0.207295i
\(151\) −53.9202 + 51.0759i −0.357087 + 0.338251i −0.845122 0.534573i \(-0.820472\pi\)
0.488035 + 0.872824i \(0.337714\pi\)
\(152\) −42.8628 + 45.2497i −0.281992 + 0.297695i
\(153\) 42.6072 + 28.6258i 0.278479 + 0.187097i
\(154\) 4.26415 26.0101i 0.0276893 0.168897i
\(155\) −11.8229 8.01614i −0.0762769 0.0517170i
\(156\) 8.61569 + 3.96392i 0.0552288 + 0.0254097i
\(157\) 217.576 130.911i 1.38584 0.833829i 0.389639 0.920968i \(-0.372600\pi\)
0.996196 + 0.0871384i \(0.0277722\pi\)
\(158\) −1.49427 6.78855i −0.00945742 0.0429655i
\(159\) 119.957 + 19.4051i 0.754444 + 0.122045i
\(160\) 38.4809 + 17.8032i 0.240506 + 0.111270i
\(161\) −59.4874 + 16.5166i −0.369487 + 0.102588i
\(162\) 58.6131 78.4750i 0.361809 0.484414i
\(163\) −85.2454 + 9.27100i −0.522978 + 0.0568773i −0.365801 0.930693i \(-0.619205\pi\)
−0.157177 + 0.987570i \(0.550239\pi\)
\(164\) 86.4352 + 45.8250i 0.527044 + 0.279421i
\(165\) −1.12357 19.9419i −0.00680954 0.120860i
\(166\) −17.5066 + 63.0529i −0.105461 + 0.379837i
\(167\) −135.155 114.802i −0.809310 0.687434i 0.143950 0.989585i \(-0.454020\pi\)
−0.953260 + 0.302151i \(0.902295\pi\)
\(168\) 100.430 16.6831i 0.597796 0.0993039i
\(169\) 93.9698 + 138.595i 0.556034 + 0.820089i
\(170\) −3.79693 8.20693i −0.0223349 0.0482761i
\(171\) 4.14145 + 70.8344i 0.0242190 + 0.414236i
\(172\) 21.2696 53.3827i 0.123660 0.310364i
\(173\) −23.7241 + 31.2085i −0.137133 + 0.180396i −0.859534 0.511079i \(-0.829246\pi\)
0.722400 + 0.691475i \(0.243039\pi\)
\(174\) −100.548 117.867i −0.577860 0.677398i
\(175\) 94.7024 + 31.9090i 0.541157 + 0.182337i
\(176\) 3.00192i 0.0170564i
\(177\) 176.744 + 9.50811i 0.998556 + 0.0537181i
\(178\) 12.6870 0.0712752
\(179\) 15.6534 46.4577i 0.0874492 0.259540i −0.895001 0.446064i \(-0.852826\pi\)
0.982450 + 0.186524i \(0.0597221\pi\)
\(180\) 27.7724 11.2021i 0.154291 0.0622337i
\(181\) −28.3113 21.5217i −0.156416 0.118904i 0.524039 0.851694i \(-0.324425\pi\)
−0.680455 + 0.732790i \(0.738218\pi\)
\(182\) −6.00677 2.39332i −0.0330042 0.0131501i
\(183\) 20.2049 + 50.3998i 0.110409 + 0.275409i
\(184\) −103.195 + 47.7432i −0.560844 + 0.259474i
\(185\) −35.6329 + 24.1597i −0.192610 + 0.130593i
\(186\) −38.9873 + 6.47645i −0.209609 + 0.0348196i
\(187\) 18.7488 22.0728i 0.100261 0.118037i
\(188\) 75.6244 + 20.9970i 0.402258 + 0.111686i
\(189\) 64.4299 96.3388i 0.340899 0.509729i
\(190\) 5.85508 11.0439i 0.0308162 0.0581256i
\(191\) −22.9709 211.214i −0.120267 1.10583i −0.886325 0.463063i \(-0.846750\pi\)
0.766059 0.642771i \(-0.222215\pi\)
\(192\) 104.373 35.4136i 0.543608 0.184446i
\(193\) −89.0225 320.630i −0.461257 1.66130i −0.718944 0.695068i \(-0.755374\pi\)
0.257688 0.966228i \(-0.417039\pi\)
\(194\) 44.6664 96.5449i 0.230239 0.497654i
\(195\) −4.83704 0.782479i −0.0248053 0.00401271i
\(196\) −75.7758 + 16.6795i −0.386611 + 0.0850996i
\(197\) 63.7952 + 106.028i 0.323834 + 0.538216i 0.975419 0.220360i \(-0.0707232\pi\)
−0.651585 + 0.758576i \(0.725896\pi\)
\(198\) −40.2810 37.8339i −0.203440 0.191080i
\(199\) −40.2640 + 59.3850i −0.202332 + 0.298417i −0.915295 0.402785i \(-0.868042\pi\)
0.712963 + 0.701202i \(0.247353\pi\)
\(200\) 181.626 + 29.7761i 0.908132 + 0.148881i
\(201\) −35.9777 + 130.652i −0.178993 + 0.650012i
\(202\) −136.286 129.097i −0.674684 0.639094i
\(203\) −126.069 133.089i −0.621029 0.655612i
\(204\) 40.3713 + 15.9864i 0.197899 + 0.0783648i
\(205\) −49.3640 10.8658i −0.240800 0.0530041i
\(206\) 61.2809 + 181.875i 0.297480 + 0.882890i
\(207\) −40.8117 + 122.842i −0.197158 + 0.593438i
\(208\) 0.719217 + 0.158312i 0.00345777 + 0.000761113i
\(209\) 39.9746 + 2.16736i 0.191266 + 0.0103701i
\(210\) −18.5121 + 8.61225i −0.0881529 + 0.0410107i
\(211\) 6.82037 + 6.46060i 0.0323240 + 0.0306190i 0.703691 0.710506i \(-0.251534\pi\)
−0.671367 + 0.741125i \(0.734293\pi\)
\(212\) 102.642 5.56507i 0.484159 0.0262503i
\(213\) 133.207 + 70.2608i 0.625384 + 0.329863i
\(214\) 128.295 189.220i 0.599507 0.884207i
\(215\) −3.20999 + 29.5154i −0.0149302 + 0.137281i
\(216\) 88.3943 194.290i 0.409233 0.899492i
\(217\) −45.6710 + 10.0530i −0.210466 + 0.0463270i
\(218\) −145.362 + 23.8309i −0.666798 + 0.109316i
\(219\) 86.9598 + 82.0240i 0.397077 + 0.374539i
\(220\) −4.52015 16.2801i −0.0205461 0.0740004i
\(221\) −4.29958 5.65600i −0.0194551 0.0255928i
\(222\) −25.3595 + 116.383i −0.114232 + 0.524246i
\(223\) −112.602 + 212.390i −0.504942 + 0.952422i 0.491718 + 0.870755i \(0.336369\pi\)
−0.996660 + 0.0816670i \(0.973976\pi\)
\(224\) 128.951 51.3788i 0.575675 0.229370i
\(225\) 166.265 127.506i 0.738956 0.566694i
\(226\) 50.9509 59.9841i 0.225447 0.265416i
\(227\) −149.322 + 79.1653i −0.657805 + 0.348746i −0.763644 0.645637i \(-0.776592\pi\)
0.105839 + 0.994383i \(0.466247\pi\)
\(228\) 16.1801 + 57.8004i 0.0709653 + 0.253510i
\(229\) 141.123 65.2904i 0.616257 0.285111i −0.0868208 0.996224i \(-0.527671\pi\)
0.703078 + 0.711113i \(0.251809\pi\)
\(230\) 17.3801 14.7628i 0.0755655 0.0641859i
\(231\) −49.9274 42.2271i −0.216136 0.182801i
\(232\) −268.781 204.322i −1.15854 0.880700i
\(233\) −44.6598 + 74.2252i −0.191673 + 0.318563i −0.937759 0.347287i \(-0.887103\pi\)
0.746086 + 0.665849i \(0.231931\pi\)
\(234\) −11.1887 + 7.65551i −0.0478151 + 0.0327159i
\(235\) −40.5503 −0.172554
\(236\) 147.796 23.9725i 0.626253 0.101579i
\(237\) −16.3538 5.47172i −0.0690035 0.0230874i
\(238\) −28.0547 9.45272i −0.117877 0.0397173i
\(239\) 91.3486 151.823i 0.382212 0.635241i −0.604709 0.796446i \(-0.706711\pi\)
0.986921 + 0.161206i \(0.0515382\pi\)
\(240\) 1.92194 1.30906i 0.00800808 0.00545440i
\(241\) −74.4525 + 186.862i −0.308932 + 0.775360i 0.689751 + 0.724047i \(0.257720\pi\)
−0.998683 + 0.0513132i \(0.983659\pi\)
\(242\) 87.7538 74.5388i 0.362619 0.308011i
\(243\) −92.3284 224.776i −0.379952 0.925006i
\(244\) 25.7767 + 38.0177i 0.105642 + 0.155810i
\(245\) 35.4179 18.7774i 0.144563 0.0766425i
\(246\) −119.678 + 72.3536i −0.486497 + 0.294120i
\(247\) 2.62740 9.46302i 0.0106372 0.0383118i
\(248\) −80.0104 + 31.8790i −0.322622 + 0.128545i
\(249\) 111.895 + 117.626i 0.449376 + 0.472393i
\(250\) −76.1005 + 8.27643i −0.304402 + 0.0331057i
\(251\) −162.833 214.203i −0.648736 0.853398i 0.347712 0.937601i \(-0.386959\pi\)
−0.996449 + 0.0842034i \(0.973165\pi\)
\(252\) 35.9024 91.2299i 0.142470 0.362023i
\(253\) 66.2826 + 30.6656i 0.261986 + 0.121208i
\(254\) 122.363 20.0603i 0.481743 0.0789777i
\(255\) −22.3077 2.37832i −0.0874811 0.00932676i
\(256\) 213.914 128.708i 0.835601 0.502765i
\(257\) 22.6371 208.145i 0.0880822 0.809902i −0.863882 0.503694i \(-0.831974\pi\)
0.951964 0.306209i \(-0.0990605\pi\)
\(258\) 49.8501 + 65.2893i 0.193217 + 0.253059i
\(259\) −22.8019 + 139.086i −0.0880383 + 0.537010i
\(260\) −4.13885 + 0.224402i −0.0159187 + 0.000863084i
\(261\) −379.031 + 63.7883i −1.45222 + 0.244400i
\(262\) 175.795 166.522i 0.670973 0.635579i
\(263\) −393.111 21.3139i −1.49472 0.0810413i −0.711456 0.702731i \(-0.751964\pi\)
−0.783264 + 0.621690i \(0.786446\pi\)
\(264\) −103.324 61.8701i −0.391377 0.234356i
\(265\) −50.3288 + 16.9577i −0.189920 + 0.0639915i
\(266\) −13.0667 38.7807i −0.0491230 0.145792i
\(267\) 16.1700 27.0041i 0.0605619 0.101139i
\(268\) −6.20621 + 114.467i −0.0231575 + 0.427115i
\(269\) 364.016 + 384.287i 1.35322 + 1.42858i 0.806466 + 0.591281i \(0.201377\pi\)
0.546752 + 0.837294i \(0.315864\pi\)
\(270\) −6.65715 + 42.2877i −0.0246561 + 0.156621i
\(271\) 4.72903 + 87.2218i 0.0174503 + 0.321852i 0.994206 + 0.107495i \(0.0342829\pi\)
−0.976755 + 0.214357i \(0.931234\pi\)
\(272\) 3.32732 + 0.545486i 0.0122328 + 0.00200546i
\(273\) −12.7500 + 9.73497i −0.0467033 + 0.0356592i
\(274\) 84.4058 + 9.17968i 0.308050 + 0.0335025i
\(275\) −60.9469 101.295i −0.221625 0.368344i
\(276\) −11.6084 + 108.881i −0.0420592 + 0.394498i
\(277\) −40.1960 245.185i −0.145112 0.885144i −0.954575 0.297972i \(-0.903690\pi\)
0.809463 0.587171i \(-0.199759\pi\)
\(278\) 50.7599 109.716i 0.182589 0.394661i
\(279\) −35.9058 + 91.2385i −0.128694 + 0.327020i
\(280\) −35.4218 + 26.9270i −0.126506 + 0.0961677i
\(281\) 8.32616 + 76.5578i 0.0296305 + 0.272448i 0.999576 + 0.0291247i \(0.00927199\pi\)
−0.969945 + 0.243323i \(0.921762\pi\)
\(282\) −81.2890 + 77.3283i −0.288259 + 0.274214i
\(283\) 46.7760 + 117.399i 0.165286 + 0.414837i 0.988168 0.153375i \(-0.0490144\pi\)
−0.822882 + 0.568213i \(0.807635\pi\)
\(284\) 122.752 + 34.0820i 0.432226 + 0.120007i
\(285\) −16.0442 26.5383i −0.0562954 0.0931168i
\(286\) 3.58284 + 6.75795i 0.0125274 + 0.0236292i
\(287\) −136.965 + 92.8644i −0.477229 + 0.323569i
\(288\) 61.3604 284.496i 0.213057 0.987835i
\(289\) 166.036 + 195.473i 0.574519 + 0.676376i
\(290\) 62.9024 + 25.0626i 0.216905 + 0.0864227i
\(291\) −148.565 218.122i −0.510534 0.749560i
\(292\) 86.6466 + 52.1335i 0.296735 + 0.178539i
\(293\) 11.3364 33.6454i 0.0386909 0.114831i −0.926567 0.376130i \(-0.877255\pi\)
0.965258 + 0.261300i \(0.0841511\pi\)
\(294\) 35.1925 105.183i 0.119702 0.357766i
\(295\) −70.2635 + 32.3628i −0.238181 + 0.109704i
\(296\) 259.578i 0.876952i
\(297\) −131.869 + 37.5170i −0.444002 + 0.126320i
\(298\) −19.3607 11.6490i −0.0649689 0.0390905i
\(299\) 10.8426 14.2631i 0.0362627 0.0477028i
\(300\) 114.458 135.331i 0.381528 0.451102i
\(301\) 62.9249 + 74.0809i 0.209053 + 0.246116i
\(302\) −37.7105 81.5100i −0.124869 0.269901i
\(303\) −448.483 + 125.544i −1.48014 + 0.414337i
\(304\) 2.18317 + 4.11790i 0.00718149 + 0.0135457i
\(305\) −18.0873 15.3635i −0.0593025 0.0503720i
\(306\) −49.2544 + 37.7724i −0.160962 + 0.123439i
\(307\) 130.225 + 326.840i 0.424186 + 1.06463i 0.973434 + 0.228967i \(0.0735347\pi\)
−0.549249 + 0.835659i \(0.685086\pi\)
\(308\) −48.8712 25.9098i −0.158673 0.0841229i
\(309\) 465.224 + 101.371i 1.50558 + 0.328062i
\(310\) 13.7509 10.4532i 0.0443578 0.0337200i
\(311\) −396.088 + 109.973i −1.27360 + 0.353612i −0.837574 0.546324i \(-0.816027\pi\)
−0.436022 + 0.899936i \(0.643613\pi\)
\(312\) −20.2721 + 21.4920i −0.0649747 + 0.0688846i
\(313\) 57.0100 + 347.746i 0.182141 + 1.11101i 0.906694 + 0.421790i \(0.138598\pi\)
−0.724553 + 0.689219i \(0.757954\pi\)
\(314\) 66.0073 + 299.874i 0.210214 + 0.955014i
\(315\) −5.26331 + 50.3794i −0.0167089 + 0.159935i
\(316\) −14.5023 1.57722i −0.0458932 0.00499119i
\(317\) 107.176 + 72.6670i 0.338094 + 0.229233i 0.718405 0.695625i \(-0.244873\pi\)
−0.380311 + 0.924859i \(0.624183\pi\)
\(318\) −68.5535 + 129.970i −0.215577 + 0.408710i
\(319\) 11.7404 + 216.540i 0.0368039 + 0.678808i
\(320\) −33.1269 + 34.9717i −0.103522 + 0.109287i
\(321\) −239.237 514.241i −0.745286 1.60200i
\(322\) 4.04176 74.5459i 0.0125521 0.231509i
\(323\) 9.66616 43.9138i 0.0299262 0.135956i
\(324\) −116.793 169.155i −0.360473 0.522083i
\(325\) −27.4828 + 9.26005i −0.0845626 + 0.0284924i
\(326\) 22.2902 101.265i 0.0683748 0.310630i
\(327\) −134.545 + 339.774i −0.411454 + 1.03906i
\(328\) −221.260 + 209.588i −0.674572 + 0.638989i
\(329\) −91.2957 + 96.3797i −0.277494 + 0.292947i
\(330\) 23.2860 + 6.41224i 0.0705635 + 0.0194310i
\(331\) −10.3182 + 62.9381i −0.0311727 + 0.190145i −0.997822 0.0659568i \(-0.978990\pi\)
0.966650 + 0.256102i \(0.0824383\pi\)
\(332\) 113.667 + 77.0685i 0.342372 + 0.232134i
\(333\) 215.397 + 202.311i 0.646838 + 0.607541i
\(334\) 183.740 110.553i 0.550119 0.330996i
\(335\) −12.7321 57.8427i −0.0380064 0.172665i
\(336\) 1.21573 7.51528i 0.00361825 0.0223669i
\(337\) 447.983 + 207.259i 1.32933 + 0.615012i 0.950577 0.310488i \(-0.100492\pi\)
0.378748 + 0.925500i \(0.376355\pi\)
\(338\) −195.104 + 54.1703i −0.577230 + 0.160267i
\(339\) −62.7364 184.900i −0.185063 0.545429i
\(340\) −18.8661 + 2.05182i −0.0554887 + 0.00603475i
\(341\) 48.8758 + 25.9123i 0.143331 + 0.0759891i
\(342\) −82.7707 22.6041i −0.242020 0.0660938i
\(343\) 91.3808 329.124i 0.266416 0.959545i
\(344\) 136.437 + 115.891i 0.396620 + 0.336892i
\(345\) −9.27080 55.8089i −0.0268719 0.161765i
\(346\) −26.6028 39.2362i −0.0768867 0.113399i
\(347\) −146.863 317.440i −0.423238 0.914813i −0.995502 0.0947437i \(-0.969797\pi\)
0.572264 0.820069i \(-0.306065\pi\)
\(348\) −301.789 + 120.985i −0.867211 + 0.347658i
\(349\) 152.460 382.646i 0.436848 1.09641i −0.531556 0.847023i \(-0.678393\pi\)
0.968405 0.249384i \(-0.0802281\pi\)
\(350\) −73.1312 + 96.2025i −0.208946 + 0.274864i
\(351\) 2.03420 + 33.5723i 0.00579545 + 0.0956476i
\(352\) −155.609 52.4309i −0.442072 0.148951i
\(353\) 593.149i 1.68031i 0.542348 + 0.840154i \(0.317535\pi\)
−0.542348 + 0.840154i \(0.682465\pi\)
\(354\) −79.1386 + 198.867i −0.223555 + 0.561770i
\(355\) −65.8205 −0.185410
\(356\) 8.50154 25.2317i 0.0238807 0.0708755i
\(357\) −55.8767 + 47.6662i −0.156517 + 0.133519i
\(358\) 47.1936 + 35.8756i 0.131826 + 0.100211i
\(359\) 326.134 + 129.944i 0.908451 + 0.361960i 0.777101 0.629376i \(-0.216689\pi\)
0.131350 + 0.991336i \(0.458069\pi\)
\(360\) 5.44508 + 93.1313i 0.0151252 + 0.258698i
\(361\) −271.223 + 125.481i −0.751311 + 0.347593i
\(362\) 35.5938 24.1332i 0.0983254 0.0666663i
\(363\) −46.8093 281.785i −0.128951 0.776268i
\(364\) −8.78493 + 10.3424i −0.0241344 + 0.0284132i
\(365\) −50.3412 13.9772i −0.137921 0.0382936i
\(366\) −65.5562 + 3.69359i −0.179115 + 0.0100918i
\(367\) −26.9402 + 50.8146i −0.0734065 + 0.138459i −0.917499 0.397739i \(-0.869795\pi\)
0.844092 + 0.536198i \(0.180140\pi\)
\(368\) 0.919308 + 8.45290i 0.00249812 + 0.0229698i
\(369\) 1.46930 + 346.951i 0.00398183 + 0.940246i
\(370\) −13.9272 50.1613i −0.0376411 0.135571i
\(371\) −73.0061 + 157.800i −0.196782 + 0.425337i
\(372\) −13.2451 + 81.8772i −0.0356052 + 0.220100i
\(373\) −421.989 + 92.8867i −1.13134 + 0.249026i −0.740908 0.671607i \(-0.765604\pi\)
−0.390429 + 0.920633i \(0.627673\pi\)
\(374\) 18.0549 + 30.0075i 0.0482752 + 0.0802340i
\(375\) −79.3767 + 172.528i −0.211671 + 0.460073i
\(376\) −137.210 + 202.370i −0.364920 + 0.538217i
\(377\) 52.4989 + 8.60676i 0.139254 + 0.0228296i
\(378\) 85.5210 + 111.030i 0.226246 + 0.293730i
\(379\) −461.077 436.755i −1.21656 1.15239i −0.983688 0.179880i \(-0.942429\pi\)
−0.232872 0.972507i \(-0.574812\pi\)
\(380\) −18.0404 19.0450i −0.0474746 0.0501184i
\(381\) 113.258 286.015i 0.297264 0.750695i
\(382\) 250.907 + 55.2288i 0.656825 + 0.144578i
\(383\) −193.982 575.717i −0.506479 1.50318i −0.830441 0.557106i \(-0.811912\pi\)
0.323962 0.946070i \(-0.394985\pi\)
\(384\) −0.539463 254.772i −0.00140485 0.663469i
\(385\) 27.9108 + 6.14363i 0.0724956 + 0.0159575i
\(386\) 401.794 + 21.7846i 1.04092 + 0.0564369i
\(387\) 202.503 22.8917i 0.523264 0.0591516i
\(388\) −162.076 153.527i −0.417722 0.395687i
\(389\) 644.609 34.9497i 1.65709 0.0898449i 0.798330 0.602220i \(-0.205717\pi\)
0.858762 + 0.512375i \(0.171234\pi\)
\(390\) 2.76430 5.24082i 0.00708796 0.0134380i
\(391\) 46.0339 67.8950i 0.117734 0.173644i
\(392\) 26.1335 240.293i 0.0666670 0.612993i
\(393\) −130.382 586.415i −0.331761 1.49215i
\(394\) −146.134 + 32.1665i −0.370898 + 0.0816408i
\(395\) 7.43766 1.21934i 0.0188295 0.00308694i
\(396\) −102.236 + 54.7578i −0.258171 + 0.138277i
\(397\) −115.853 417.265i −0.291821 1.05105i −0.953533 0.301287i \(-0.902584\pi\)
0.661712 0.749758i \(-0.269830\pi\)
\(398\) −52.5050 69.0691i −0.131922 0.173540i
\(399\) −99.1982 21.6151i −0.248617 0.0541731i
\(400\) 6.44681 12.1600i 0.0161170 0.0303999i
\(401\) 459.491 183.078i 1.14586 0.456553i 0.281569 0.959541i \(-0.409145\pi\)
0.864293 + 0.502988i \(0.167766\pi\)
\(402\) −135.828 91.6744i −0.337880 0.228046i
\(403\) 8.78575 10.3434i 0.0218009 0.0256660i
\(404\) −348.071 + 184.536i −0.861563 + 0.456772i
\(405\) 81.5239 + 68.0669i 0.201294 + 0.168066i
\(406\) 201.188 93.0796i 0.495537 0.229260i
\(407\) 127.073 107.937i 0.312219 0.265202i
\(408\) −87.3517 + 103.281i −0.214097 + 0.253139i
\(409\) −448.148 340.673i −1.09572 0.832942i −0.108782 0.994066i \(-0.534695\pi\)
−0.986934 + 0.161124i \(0.948488\pi\)
\(410\) 31.5115 52.3725i 0.0768573 0.127738i
\(411\) 127.117 167.957i 0.309288 0.408654i
\(412\) 402.775 0.977609
\(413\) −81.2729 + 239.864i −0.196787 + 0.580785i
\(414\) −125.011 94.1980i −0.301958 0.227531i
\(415\) −67.2395 22.6556i −0.162023 0.0545919i
\(416\) −20.7680 + 34.5167i −0.0499231 + 0.0829728i
\(417\) −168.833 247.878i −0.404875 0.594432i
\(418\) −17.9183 + 44.9714i −0.0428666 + 0.107587i
\(419\) 610.613 518.659i 1.45731 1.23785i 0.538812 0.842426i \(-0.318873\pi\)
0.918498 0.395425i \(-0.129403\pi\)
\(420\) 4.72295 + 42.5876i 0.0112451 + 0.101399i
\(421\) 74.0625 + 109.234i 0.175921 + 0.259463i 0.905419 0.424519i \(-0.139557\pi\)
−0.729498 + 0.683982i \(0.760246\pi\)
\(422\) −10.0368 + 5.32120i −0.0237840 + 0.0126095i
\(423\) 60.9863 + 271.580i 0.144176 + 0.642034i
\(424\) −85.6685 + 308.550i −0.202048 + 0.727712i
\(425\) −123.349 + 49.1468i −0.290233 + 0.115640i
\(426\) −131.947 + 125.518i −0.309735 + 0.294643i
\(427\) −77.2377 + 8.40011i −0.180885 + 0.0196724i
\(428\) −290.348 381.946i −0.678384 0.892398i
\(429\) 18.9507 + 0.987235i 0.0441740 + 0.00230125i
\(430\) −32.5833 15.0746i −0.0757751 0.0350573i
\(431\) 631.784 103.576i 1.46586 0.240315i 0.624597 0.780948i \(-0.285263\pi\)
0.841259 + 0.540633i \(0.181815\pi\)
\(432\) −11.6578 10.9032i −0.0269856 0.0252388i
\(433\) 348.711 209.813i 0.805337 0.484555i −0.0524107 0.998626i \(-0.516690\pi\)
0.857748 + 0.514070i \(0.171863\pi\)
\(434\) 6.11403 56.2176i 0.0140876 0.129534i
\(435\) 133.517 101.944i 0.306935 0.234353i
\(436\) −50.0125 + 305.063i −0.114707 + 0.699685i
\(437\) 113.225 6.13889i 0.259097 0.0140478i
\(438\) −127.570 + 67.9799i −0.291256 + 0.155205i
\(439\) 559.224 529.725i 1.27386 1.20666i 0.306898 0.951743i \(-0.400709\pi\)
0.966962 0.254921i \(-0.0820495\pi\)
\(440\) 52.5576 + 2.84959i 0.119449 + 0.00647634i
\(441\) −179.027 208.966i −0.405956 0.473847i
\(442\) 8.14152 2.74320i 0.0184197 0.00620633i
\(443\) −32.3386 95.9775i −0.0729991 0.216654i 0.904942 0.425535i \(-0.139914\pi\)
−0.977941 + 0.208882i \(0.933018\pi\)
\(444\) 214.466 + 128.422i 0.483032 + 0.289240i
\(445\) −0.744753 + 13.7362i −0.00167360 + 0.0308678i
\(446\) −199.908 211.041i −0.448225 0.473186i
\(447\) −49.4706 + 26.3620i −0.110673 + 0.0589754i
\(448\) 8.53787 + 157.472i 0.0190577 + 0.351500i
\(449\) 708.551 + 116.161i 1.57806 + 0.258710i 0.886195 0.463313i \(-0.153339\pi\)
0.691869 + 0.722023i \(0.256788\pi\)
\(450\) 81.9170 + 239.761i 0.182038 + 0.532801i
\(451\) 194.605 + 21.1646i 0.431497 + 0.0469281i
\(452\) −85.1532 141.526i −0.188392 0.313110i
\(453\) −221.556 23.6211i −0.489087 0.0521438i
\(454\) −33.0637 201.680i −0.0728275 0.444228i
\(455\) 2.94385 6.36302i 0.00647000 0.0139847i
\(456\) −186.730 9.72771i −0.409496 0.0213327i
\(457\) −90.3426 + 68.6767i −0.197686 + 0.150277i −0.699335 0.714794i \(-0.746520\pi\)
0.501648 + 0.865072i \(0.332727\pi\)
\(458\) 20.3295 + 186.927i 0.0443876 + 0.408137i
\(459\) 17.6215 + 152.980i 0.0383911 + 0.333289i
\(460\) −17.7136 44.4577i −0.0385078 0.0966472i
\(461\) −60.1883 16.7112i −0.130560 0.0362499i 0.201633 0.979461i \(-0.435375\pi\)
−0.332194 + 0.943211i \(0.607789\pi\)
\(462\) 67.6670 40.9093i 0.146465 0.0885482i
\(463\) 183.315 + 345.770i 0.395930 + 0.746803i 0.998693 0.0511177i \(-0.0162784\pi\)
−0.602763 + 0.797920i \(0.705934\pi\)
\(464\) −20.8970 + 14.1685i −0.0450367 + 0.0305356i
\(465\) −4.72339 42.5916i −0.0101578 0.0915949i
\(466\) −67.8136 79.8364i −0.145523 0.171323i
\(467\) 332.821 + 132.608i 0.712679 + 0.283957i 0.698164 0.715937i \(-0.254000\pi\)
0.0145144 + 0.999895i \(0.495380\pi\)
\(468\) 7.72760 + 27.3819i 0.0165120 + 0.0585084i
\(469\) −166.146 99.9665i −0.354255 0.213148i
\(470\) 15.6569 46.4680i 0.0333125 0.0988681i
\(471\) 722.407 + 241.705i 1.53377 + 0.513175i
\(472\) −76.2413 + 460.162i −0.161528 + 0.974919i
\(473\) 114.981i 0.243088i
\(474\) 12.5846 16.6277i 0.0265498 0.0350796i
\(475\) −157.272 94.6271i −0.331098 0.199215i
\(476\) −37.5988 + 49.4604i −0.0789892 + 0.103908i
\(477\) 189.265 + 311.567i 0.396782 + 0.653180i
\(478\) 138.708 + 163.300i 0.290184 + 0.341632i
\(479\) 339.859 + 734.593i 0.709518 + 1.53360i 0.840262 + 0.542181i \(0.182401\pi\)
−0.130744 + 0.991416i \(0.541737\pi\)
\(480\) 34.2888 + 122.490i 0.0714350 + 0.255188i
\(481\) −19.1587 36.1372i −0.0398310 0.0751292i
\(482\) −185.385 157.467i −0.384615 0.326695i
\(483\) −153.519 103.614i −0.317844 0.214523i
\(484\) −89.4378 224.472i −0.184789 0.463785i
\(485\) 101.907 + 54.0276i 0.210117 + 0.111397i
\(486\) 293.228 19.0139i 0.603350 0.0391232i
\(487\) −524.016 + 398.347i −1.07601 + 0.817960i −0.984066 0.177804i \(-0.943101\pi\)
−0.0919422 + 0.995764i \(0.529308\pi\)
\(488\) −137.874 + 38.2806i −0.282529 + 0.0784439i
\(489\) −187.132 176.511i −0.382684 0.360963i
\(490\) 7.84245 + 47.8368i 0.0160050 + 0.0976262i
\(491\) −65.5450 297.774i −0.133493 0.606464i −0.995099 0.0988862i \(-0.968472\pi\)
0.861606 0.507578i \(-0.169459\pi\)
\(492\) 63.6993 + 286.498i 0.129470 + 0.582313i
\(493\) 242.145 + 26.3349i 0.491166 + 0.0534176i
\(494\) 9.82955 + 6.66460i 0.0198979 + 0.0134911i
\(495\) 43.3272 41.3912i 0.0875297 0.0836186i
\(496\) 0.348685 + 6.43111i 0.000702993 + 0.0129659i
\(497\) −148.190 + 156.442i −0.298168 + 0.314772i
\(498\) −177.995 + 82.8073i −0.357420 + 0.166280i
\(499\) 46.2329 852.715i 0.0926510 1.70885i −0.470423 0.882441i \(-0.655899\pi\)
0.563074 0.826407i \(-0.309619\pi\)
\(500\) −34.5349 + 156.893i −0.0690697 + 0.313787i
\(501\) −1.12646 531.991i −0.00224842 1.06186i
\(502\) 308.334 103.890i 0.614211 0.206952i
\(503\) −94.9172 + 431.213i −0.188702 + 0.857283i 0.783176 + 0.621800i \(0.213598\pi\)
−0.971878 + 0.235483i \(0.924333\pi\)
\(504\) 233.613 + 196.736i 0.463518 + 0.390349i
\(505\) 147.773 139.978i 0.292620 0.277185i
\(506\) −60.7332 + 64.1152i −0.120026 + 0.126710i
\(507\) −133.366 + 484.318i −0.263050 + 0.955262i
\(508\) 42.0994 256.795i 0.0828729 0.505503i
\(509\) 202.025 + 136.977i 0.396906 + 0.269109i 0.743271 0.668991i \(-0.233274\pi\)
−0.346364 + 0.938100i \(0.612584\pi\)
\(510\) 11.3386 24.6449i 0.0222326 0.0483233i
\(511\) −146.560 + 88.1821i −0.286810 + 0.172568i
\(512\) −8.12849 36.9281i −0.0158760 0.0721252i
\(513\) −153.607 + 147.367i −0.299428 + 0.287264i
\(514\) 229.780 + 106.308i 0.447043 + 0.206824i
\(515\) −200.513 + 55.6722i −0.389346 + 0.108101i
\(516\) 163.251 55.3908i 0.316377 0.107346i
\(517\) 156.122 16.9793i 0.301977 0.0328420i
\(518\) −150.579 79.8319i −0.290693 0.154116i
\(519\) −117.420 + 6.61572i −0.226243 + 0.0127470i
\(520\) 3.45443 12.4417i 0.00664314 0.0239264i
\(521\) −224.620 190.794i −0.431132 0.366206i 0.405387 0.914145i \(-0.367137\pi\)
−0.836518 + 0.547939i \(0.815413\pi\)
\(522\) 73.2504 458.974i 0.140326 0.879260i
\(523\) 400.017 + 589.980i 0.764850 + 1.12807i 0.988176 + 0.153326i \(0.0489984\pi\)
−0.223325 + 0.974744i \(0.571691\pi\)
\(524\) −213.376 461.204i −0.407206 0.880161i
\(525\) 111.557 + 278.273i 0.212490 + 0.530043i
\(526\) 176.209 442.250i 0.334998 0.840780i
\(527\) 37.6024 49.4651i 0.0713518 0.0938616i
\(528\) −6.85149 + 5.84473i −0.0129763 + 0.0110696i
\(529\) −305.277 102.860i −0.577083 0.194442i
\(530\) 64.2211i 0.121172i
\(531\) 322.420 + 421.908i 0.607193 + 0.794554i
\(532\) −85.8824 −0.161433
\(533\) 15.3336 45.5084i 0.0287684 0.0853816i
\(534\) 24.7015 + 28.9564i 0.0462575 + 0.0542254i
\(535\) 197.337 + 150.012i 0.368854 + 0.280396i
\(536\) −331.751 132.182i −0.618938 0.246607i
\(537\) 136.511 54.7261i 0.254210 0.101911i
\(538\) −580.918 + 268.761i −1.07977 + 0.499556i
\(539\) −128.500 + 87.1248i −0.238404 + 0.161642i
\(540\) 79.6401 + 41.5766i 0.147482 + 0.0769937i
\(541\) 81.8529 96.3646i 0.151299 0.178123i −0.681291 0.732013i \(-0.738581\pi\)
0.832590 + 0.553890i \(0.186857\pi\)
\(542\) −101.776 28.2581i −0.187780 0.0521367i
\(543\) −6.00156 106.520i −0.0110526 0.196169i
\(544\) −86.3902 + 162.949i −0.158806 + 0.299539i
\(545\) −17.2686 158.782i −0.0316854 0.291343i
\(546\) −6.23273 18.3694i −0.0114153 0.0336437i
\(547\) −126.438 455.389i −0.231148 0.832520i −0.984571 0.174984i \(-0.944013\pi\)
0.753423 0.657536i \(-0.228401\pi\)
\(548\) 74.8167 161.714i 0.136527 0.295098i
\(549\) −75.6921 + 144.243i −0.137873 + 0.262738i
\(550\) 139.609 30.7303i 0.253835 0.0558733i
\(551\) 173.585 + 288.501i 0.315037 + 0.523595i
\(552\) −309.888 142.574i −0.561392 0.258286i
\(553\) 13.8472 20.4230i 0.0250401 0.0369313i
\(554\) 296.486 + 48.6064i 0.535173 + 0.0877372i
\(555\) −124.518 34.2885i −0.224357 0.0617811i
\(556\) −184.187 174.471i −0.331271 0.313796i
\(557\) −313.272 330.717i −0.562427 0.593747i 0.381309 0.924448i \(-0.375474\pi\)
−0.943736 + 0.330701i \(0.892715\pi\)
\(558\) −90.6898 76.3738i −0.162527 0.136871i
\(559\) −27.5477 6.06371i −0.0492803 0.0108474i
\(560\) 1.06240 + 3.15310i 0.00189715 + 0.00563054i
\(561\) 86.8823 0.183968i 0.154870 0.000327928i
\(562\) −90.9451 20.0185i −0.161824 0.0356202i
\(563\) −872.617 47.3119i −1.54994 0.0840354i −0.740831 0.671692i \(-0.765568\pi\)
−0.809110 + 0.587657i \(0.800051\pi\)
\(564\) 99.3175 + 213.484i 0.176095 + 0.378518i
\(565\) 61.9536 + 58.6856i 0.109652 + 0.103868i
\(566\) −152.592 + 8.27332i −0.269598 + 0.0146172i
\(567\) 345.325 40.5186i 0.609039 0.0714614i
\(568\) −222.717 + 328.483i −0.392107 + 0.578315i
\(569\) −73.1114 + 672.248i −0.128491 + 1.18146i 0.735349 + 0.677689i \(0.237018\pi\)
−0.863840 + 0.503767i \(0.831947\pi\)
\(570\) 36.6060 8.13889i 0.0642210 0.0142788i
\(571\) −924.542 + 203.507i −1.61916 + 0.356405i −0.929815 0.368027i \(-0.880034\pi\)
−0.689347 + 0.724431i \(0.742102\pi\)
\(572\) 15.8410 2.59699i 0.0276940 0.00454020i
\(573\) 437.344 463.661i 0.763254 0.809182i
\(574\) −53.5331 192.809i −0.0932632 0.335904i
\(575\) −202.636 266.564i −0.352411 0.463589i
\(576\) 284.040 + 169.267i 0.493125 + 0.293867i
\(577\) 25.4307 47.9673i 0.0440740 0.0831323i −0.860497 0.509456i \(-0.829847\pi\)
0.904571 + 0.426324i \(0.140192\pi\)
\(578\) −288.107 + 114.793i −0.498456 + 0.198603i
\(579\) 558.470 827.448i 0.964542 1.42910i
\(580\) 91.9949 108.305i 0.158612 0.186732i
\(581\) −205.232 + 108.807i −0.353239 + 0.187276i
\(582\) 307.316 86.0272i 0.528035 0.147813i
\(583\) 186.670 86.3625i 0.320188 0.148135i
\(584\) −240.093 + 203.937i −0.411119 + 0.349208i
\(585\) −7.63180 12.5634i −0.0130458 0.0214759i
\(586\) 34.1783 + 25.9817i 0.0583247 + 0.0443373i
\(587\) 248.752 413.429i 0.423768 0.704308i −0.569264 0.822155i \(-0.692772\pi\)
0.993032 + 0.117847i \(0.0375993\pi\)
\(588\) −185.604 140.473i −0.315653 0.238900i
\(589\) 85.8905 0.145824
\(590\) −9.95619 93.0131i −0.0168749 0.157649i
\(591\) −117.787 + 352.041i −0.199301 + 0.595670i
\(592\) 18.3950 + 6.19798i 0.0310726 + 0.0104696i
\(593\) −314.221 + 522.239i −0.529883 + 0.880673i −0.999998 0.00193232i \(-0.999385\pi\)
0.470115 + 0.882605i \(0.344213\pi\)
\(594\) 7.92382 165.599i 0.0133398 0.278785i
\(595\) 11.8813 29.8198i 0.0199686 0.0501173i
\(596\) −36.1409 + 30.6983i −0.0606391 + 0.0515073i
\(597\) −213.932 + 23.7250i −0.358345 + 0.0397403i
\(598\) 12.1582 + 17.9320i 0.0203314 + 0.0299866i
\(599\) −195.817 + 103.816i −0.326907 + 0.173315i −0.623776 0.781603i \(-0.714402\pi\)
0.296869 + 0.954918i \(0.404058\pi\)
\(600\) 285.666 + 472.512i 0.476110 + 0.787521i
\(601\) −245.759 + 885.144i −0.408917 + 1.47279i 0.416955 + 0.908927i \(0.363097\pi\)
−0.825871 + 0.563858i \(0.809316\pi\)
\(602\) −109.188 + 43.5045i −0.181375 + 0.0722665i
\(603\) −368.246 + 172.266i −0.610689 + 0.285681i
\(604\) −187.376 + 20.3783i −0.310225 + 0.0337390i
\(605\) 75.5516 + 99.3864i 0.124879 + 0.164275i
\(606\) 29.2986 562.406i 0.0483475 0.928063i
\(607\) −369.118 170.772i −0.608101 0.281338i 0.0915743 0.995798i \(-0.470810\pi\)
−0.699676 + 0.714461i \(0.746672\pi\)
\(608\) −251.589 + 41.2459i −0.413797 + 0.0678386i
\(609\) 58.3032 546.860i 0.0957360 0.897963i
\(610\) 24.5892 14.7948i 0.0403102 0.0242538i
\(611\) 4.16537 38.3000i 0.00681731 0.0626841i
\(612\) 42.1158 + 123.268i 0.0688167 + 0.201418i
\(613\) −49.5293 + 302.115i −0.0807982 + 0.492847i 0.915165 + 0.403080i \(0.132060\pi\)
−0.995963 + 0.0897668i \(0.971388\pi\)
\(614\) −424.819 + 23.0330i −0.691887 + 0.0375130i
\(615\) −71.3116 133.823i −0.115954 0.217598i
\(616\) 125.102 118.503i 0.203088 0.192375i
\(617\) −716.825 38.8651i −1.16179 0.0629904i −0.536860 0.843671i \(-0.680390\pi\)
−0.624930 + 0.780681i \(0.714873\pi\)
\(618\) −295.793 + 493.976i −0.478629 + 0.799314i
\(619\) 388.515 130.906i 0.627649 0.211480i 0.0125397 0.999921i \(-0.496008\pi\)
0.615109 + 0.788442i \(0.289112\pi\)
\(620\) −11.5746 34.3523i −0.0186688 0.0554069i
\(621\) −359.830 + 146.025i −0.579436 + 0.235144i
\(622\) 26.9115 496.354i 0.0432661 0.797996i
\(623\) 30.9713 + 32.6960i 0.0497131 + 0.0524815i
\(624\) 1.03899 + 1.94975i 0.00166504 + 0.00312460i
\(625\) 27.0164 + 498.288i 0.0432263 + 0.797261i
\(626\) −420.506 68.9385i −0.671735 0.110125i
\(627\) 72.8836 + 95.4565i 0.116242 + 0.152243i
\(628\) 640.617 + 69.6713i 1.02009 + 0.110942i
\(629\) −96.5461 160.461i −0.153491 0.255105i
\(630\) −55.6993 25.4834i −0.0884116 0.0404499i
\(631\) −63.4122 386.797i −0.100495 0.612991i −0.988270 0.152714i \(-0.951199\pi\)
0.887776 0.460276i \(-0.152250\pi\)
\(632\) 19.0816 41.2441i 0.0301923 0.0652597i
\(633\) −1.46623 + 28.1454i −0.00231632 + 0.0444635i
\(634\) −124.653 + 94.7590i −0.196614 + 0.149462i
\(635\) 14.5363 + 133.659i 0.0228918 + 0.210487i
\(636\) 212.544 + 223.431i 0.334189 + 0.351306i
\(637\) 14.0972 + 35.3813i 0.0221306 + 0.0555436i
\(638\) −252.674 70.1545i −0.396040 0.109960i
\(639\) 98.9920 + 440.825i 0.154917 + 0.689866i
\(640\) 52.1569 + 98.3783i 0.0814951 + 0.153716i
\(641\) −512.033 + 347.167i −0.798804 + 0.541603i −0.890928 0.454145i \(-0.849945\pi\)
0.0921236 + 0.995748i \(0.470634\pi\)
\(642\) 681.659 75.5957i 1.06177 0.117750i
\(643\) 622.535 + 732.905i 0.968173 + 1.13982i 0.990143 + 0.140062i \(0.0447303\pi\)
−0.0219701 + 0.999759i \(0.506994\pi\)
\(644\) −145.547 57.9914i −0.226005 0.0900487i
\(645\) −73.6148 + 50.1399i −0.114131 + 0.0777363i
\(646\) 46.5902 + 28.0324i 0.0721210 + 0.0433938i
\(647\) −340.297 + 1009.96i −0.525961 + 1.56100i 0.274485 + 0.961591i \(0.411493\pi\)
−0.800446 + 0.599405i \(0.795404\pi\)
\(648\) 615.546 176.534i 0.949916 0.272429i
\(649\) 256.969 154.020i 0.395947 0.237319i
\(650\) 35.0690i 0.0539522i
\(651\) −111.866 84.6651i −0.171837 0.130054i
\(652\) −186.458 112.188i −0.285979 0.172068i
\(653\) −217.811 + 286.526i −0.333555 + 0.438784i −0.932043 0.362348i \(-0.881975\pi\)
0.598488 + 0.801132i \(0.295768\pi\)
\(654\) −337.410 285.371i −0.515917 0.436347i
\(655\) 169.973 + 200.108i 0.259501 + 0.305508i
\(656\) 9.56940 + 20.6839i 0.0145875 + 0.0315304i
\(657\) −17.8987 + 358.175i −0.0272431 + 0.545167i
\(658\) −75.1946 141.832i −0.114278 0.215550i
\(659\) 62.9458 + 53.4666i 0.0955171 + 0.0811330i 0.693873 0.720098i \(-0.255903\pi\)
−0.598355 + 0.801231i \(0.704179\pi\)
\(660\) 28.3565 42.0139i 0.0429643 0.0636574i
\(661\) 183.149 + 459.670i 0.277079 + 0.695416i 0.999990 + 0.00447498i \(0.00142443\pi\)
−0.722911 + 0.690941i \(0.757196\pi\)
\(662\) −68.1390 36.1250i −0.102929 0.0545695i
\(663\) 4.53781 20.8254i 0.00684436 0.0314109i
\(664\) −340.583 + 258.905i −0.512926 + 0.389916i
\(665\) 42.7548 11.8708i 0.0642929 0.0178508i
\(666\) −315.003 + 168.717i −0.472977 + 0.253328i
\(667\) 99.3722 + 606.143i 0.148984 + 0.908761i
\(668\) −96.7413 439.500i −0.144822 0.657934i
\(669\) −703.988 + 156.523i −1.05230 + 0.233966i
\(670\) 71.2001 + 7.74347i 0.106269 + 0.0115574i
\(671\) 76.0705 + 51.5770i 0.113369 + 0.0768659i
\(672\) 368.333 + 194.280i 0.548114 + 0.289107i
\(673\) −43.8630 809.005i −0.0651753 1.20209i −0.829968 0.557811i \(-0.811641\pi\)
0.764793 0.644276i \(-0.222841\pi\)
\(674\) −410.476 + 433.334i −0.609015 + 0.642929i
\(675\) 614.733 + 131.225i 0.910716 + 0.194407i
\(676\) −23.0059 + 424.319i −0.0340324 + 0.627690i
\(677\) −63.5037 + 288.500i −0.0938017 + 0.426145i 0.906193 + 0.422864i \(0.138975\pi\)
−0.999995 + 0.00328085i \(0.998956\pi\)
\(678\) 236.107 0.499941i 0.348240 0.000737376i
\(679\) 357.847 120.573i 0.527021 0.177574i
\(680\) 12.7088 57.7368i 0.0186894 0.0849070i
\(681\) −471.413 186.673i −0.692237 0.274115i
\(682\) −48.5653 + 46.0035i −0.0712100 + 0.0674537i
\(683\) 751.223 793.056i 1.09989 1.16114i 0.114042 0.993476i \(-0.463620\pi\)
0.985845 0.167660i \(-0.0536212\pi\)
\(684\) −100.419 + 149.466i −0.146812 + 0.218518i
\(685\) −14.8936 + 90.8470i −0.0217425 + 0.132623i
\(686\) 341.872 + 231.795i 0.498355 + 0.337893i
\(687\) 423.782 + 194.974i 0.616859 + 0.283805i
\(688\) 11.4703 6.90147i 0.0166720 0.0100312i
\(689\) −10.8469 49.2778i −0.0157429 0.0715207i
\(690\) 67.5330 + 10.9247i 0.0978738 + 0.0158329i
\(691\) 602.092 + 278.557i 0.871334 + 0.403122i 0.804015 0.594609i \(-0.202693\pi\)
0.0673196 + 0.997731i \(0.478555\pi\)
\(692\) −95.8589 + 26.6151i −0.138524 + 0.0384611i
\(693\) −0.830752 196.169i −0.00119878 0.283072i
\(694\) 420.471 45.7290i 0.605867 0.0658920i
\(695\) 115.809 + 61.3981i 0.166632 + 0.0883426i
\(696\) −56.9775 1011.27i −0.0818642 1.45298i
\(697\) 58.8209 211.854i 0.0843915 0.303951i
\(698\) 379.621 + 322.453i 0.543870 + 0.461967i
\(699\) −256.362 + 42.5860i −0.366755 + 0.0609241i
\(700\) 142.321 + 209.907i 0.203315 + 0.299868i
\(701\) −126.473 273.366i −0.180418 0.389966i 0.796174 0.605067i \(-0.206854\pi\)
−0.976592 + 0.215101i \(0.930992\pi\)
\(702\) −39.2571 10.6316i −0.0559218 0.0151447i
\(703\) 95.8153 240.478i 0.136295 0.342074i
\(704\) 112.898 148.515i 0.160367 0.210959i
\(705\) −78.9512 92.5507i −0.111988 0.131278i
\(706\) −679.710 229.021i −0.962762 0.324392i
\(707\) 666.376i 0.942541i
\(708\) 342.472 + 290.650i 0.483717 + 0.410522i
\(709\) 694.810 0.979986 0.489993 0.871726i \(-0.336999\pi\)
0.489993 + 0.871726i \(0.336999\pi\)
\(710\) 25.4140 75.4261i 0.0357944 0.106234i
\(711\) −19.3524 47.9789i −0.0272185 0.0674809i
\(712\) 66.0314 + 50.1958i 0.0927408 + 0.0704997i
\(713\) 145.561 + 57.9968i 0.204153 + 0.0813420i
\(714\) −33.0477 82.4355i −0.0462854 0.115456i
\(715\) −7.52713 + 3.48242i −0.0105275 + 0.00487052i
\(716\) 102.973 69.8176i 0.143817 0.0975106i
\(717\) 524.370 87.1067i 0.731339 0.121488i
\(718\) −274.831 + 323.556i −0.382773 + 0.450635i
\(719\) 397.154 + 110.269i 0.552369 + 0.153365i 0.532488 0.846438i \(-0.321257\pi\)
0.0198816 + 0.999802i \(0.493671\pi\)
\(720\) 6.72975 + 1.83785i 0.00934688 + 0.00255256i
\(721\) −319.118 + 601.920i −0.442604 + 0.834840i
\(722\) −39.0712 359.254i −0.0541153 0.497582i
\(723\) −571.446 + 193.891i −0.790382 + 0.268176i
\(724\) −24.1443 86.9600i −0.0333485 0.120111i
\(725\) 417.475 902.357i 0.575827 1.24463i
\(726\) 340.981 + 55.1599i 0.469671 + 0.0759778i
\(727\) 481.010 105.878i 0.661637 0.145637i 0.128557 0.991702i \(-0.458965\pi\)
0.533080 + 0.846065i \(0.321034\pi\)
\(728\) −21.7941 36.2221i −0.0299369 0.0497556i
\(729\) 333.260 648.366i 0.457146 0.889392i
\(730\) 35.4542 52.2910i 0.0485674 0.0716315i
\(731\) −127.444 20.8934i −0.174342 0.0285819i
\(732\) −36.5834 + 132.852i −0.0499774 + 0.181492i
\(733\) −346.261 327.996i −0.472389 0.447470i 0.414093 0.910235i \(-0.364099\pi\)
−0.886481 + 0.462764i \(0.846858\pi\)
\(734\) −47.8283 50.4917i −0.0651612 0.0687898i
\(735\) 111.816 + 44.2773i 0.152130 + 0.0602412i
\(736\) −454.226 99.9826i −0.617154 0.135846i
\(737\) 73.2398 + 217.368i 0.0993756 + 0.294936i
\(738\) −398.150 132.278i −0.539499 0.179238i
\(739\) −987.863 217.445i −1.33676 0.294242i −0.511638 0.859201i \(-0.670961\pi\)
−0.825119 + 0.564959i \(0.808892\pi\)
\(740\) −109.093 5.91483i −0.147422 0.00799301i
\(741\) 26.7136 12.4278i 0.0360508 0.0167716i
\(742\) −152.640 144.589i −0.205715 0.194863i
\(743\) 834.340 45.2366i 1.12293 0.0608837i 0.516697 0.856168i \(-0.327161\pi\)
0.606237 + 0.795284i \(0.292678\pi\)
\(744\) −228.540 120.545i −0.307177 0.162023i
\(745\) 13.7488 20.2780i 0.0184548 0.0272188i
\(746\) 56.4921 519.436i 0.0757267 0.696295i
\(747\) −50.6071 + 484.401i −0.0677472 + 0.648462i
\(748\) 71.7771 15.7993i 0.0959587 0.0211221i
\(749\) 800.835 131.290i 1.06921 0.175287i
\(750\) −167.057 157.575i −0.222743 0.210100i
\(751\) −331.566 1194.19i −0.441499 1.59014i −0.765080 0.643936i \(-0.777300\pi\)
0.323580 0.946201i \(-0.395113\pi\)
\(752\) 11.0647 + 14.5554i 0.0147137 + 0.0193556i
\(753\) 171.855 788.697i 0.228227 1.04741i
\(754\) −30.1332 + 56.8372i −0.0399644 + 0.0753809i
\(755\) 90.4643 36.0443i 0.119820 0.0477408i
\(756\) 278.122 95.6818i 0.367886 0.126563i
\(757\) −814.808 + 959.267i −1.07637 + 1.26719i −0.114573 + 0.993415i \(0.536550\pi\)
−0.961792 + 0.273780i \(0.911726\pi\)
\(758\) 678.519 359.728i 0.895144 0.474576i
\(759\) 59.0617 + 210.987i 0.0778152 + 0.277980i
\(760\) 74.1685 34.3140i 0.0975901 0.0451500i
\(761\) 627.229 532.773i 0.824217 0.700096i −0.132479 0.991186i \(-0.542294\pi\)
0.956696 + 0.291090i \(0.0940179\pi\)
\(762\) 284.025 + 240.219i 0.372736 + 0.315248i
\(763\) −416.270 316.441i −0.545571 0.414732i
\(764\) 277.971 461.991i 0.363836 0.604701i
\(765\) −38.0048 55.5449i −0.0496794 0.0726078i
\(766\) 734.632 0.959050
\(767\) −23.3493 69.6886i −0.0304424 0.0908587i
\(768\) 710.248 + 237.637i 0.924802 + 0.309423i
\(769\) 298.012 + 100.412i 0.387531 + 0.130575i 0.506321 0.862345i \(-0.331005\pi\)
−0.118790 + 0.992919i \(0.537902\pi\)
\(770\) −17.8169 + 29.6118i −0.0231388 + 0.0384569i
\(771\) 519.138 353.591i 0.673330 0.458613i
\(772\) 312.567 784.484i 0.404879 1.01617i
\(773\) −1088.58 + 924.648i −1.40825 + 1.19618i −0.456343 + 0.889804i \(0.650841\pi\)